45405217225 has 27 divisors (see below), whose sum is σ = 59448223623. Its totient is φ = 34397033040.

The previous prime is 45405217211. The next prime is 45405217327. The reversal of 45405217225 is 52271250454.

The square root of 45405217225 is 213085.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16345878201 + 29059339024 = 127851^2 + 170468^2 .

It is not a de Polignac number, because 45405217225 - 2⁹ = 45405216713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20241954 + ... + 20244196.

Almost surely, 2^45405217225 is an apocalyptic number.

45405217225 is the 213085-th square number.

45405217225 is the 106543-rd centered octagonal number.

It is an amenable number.

45405217225 is a deficient number, since it is larger than the sum of its proper divisors (14043006398).

45405217225 is an frugal number, since it uses more digits than its factorization.

45405217225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4534 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 37.

Adding to 45405217225 its reverse (52271250454), we get a palindrome (97676467679).

The spelling of 45405217225 in words is "forty-five billion, four hundred five million, two hundred seventeen thousand, two hundred twenty-five".